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Finding the Fourth Proportional to 5,878.37, 8,111.87 and 3,225.72

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Solution

The fourth proportional to 5,878.37, 8,111.87 and 3,225.72 is: 4,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.37 : 8,111.87 = 3,225.72 : x
  2. Step 2: Convert to fraction form
    5,878.37/8,111.87 = 3,225.72/x
  3. Step 3: Cross multiply
    5,878.37x = 8,111.87 × 3,225.72
  4. Step 4: Simplify right side
    5,878.37x = 26,166,605.17
  5. Step 5: Solve for x
    x = 26,166,605.17/5,878.37
  6. Step 6: Final answer
    x = 4,451.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.